If the price of good a falls, then when the consumer makes his new utility-maximizing choice a. the quantity of the good a consumed will decrease b. the marginal utility from consuming good a will be lower than before c. the marginal utility from all other goods will be lower than before d. the quantity consumed of all other goods will increase

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

On january 1, 2017, fisher corporation purchased 40 percent (90,000 shares) of the common stock of bowden, inc. for $980,000 in cash and began to use the equity method for the investment. the price paid represented a $48,000 payment in excess of the book value of fisher's share of bowden's underlying net assets. fisher was willing to make this extra payment because of a recently developed patent held by bowden with a 15-year remaining life. all other assets were considered appropriately valued on bowden's books. bowden declares and pays a $90,000 cash dividend to its stockholders each year on september 15. bowden reported net income of $400,000 in 2017 and $348,000 in 2018. each income figure was earned evenly throughout its respective year. on july 1, 2018, fisher sold 10 percent (22,500 shares) of bowden's outstanding shares for $338,000 in cash. although it sold this interest, fisher maintained the ability to significantly influence bowden's decision-making process. prepare the journal entries for fisher for the years of 2017 and 2018. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field. do not round intermediate calculations. round your final answers to the nearest whole dollar.)

Your uncle borrows $53,000 from the bank at 11 percent interest over the nine-year life of the loan. use appendix d for an approximate answer but calculate your final answer using the formula and financial calculator methods. what equal annual payments must be made to discharge the loan, plus pay the bank its required rate of interest